Relative Fatou theorem for {$\alpha$}-harmonic functions in Lipschitz domains
Krzysztof Michalik, Michał Ryznar · Illinois Journal of Mathematics · 2004
We prove a relative Fatou theorem for $\alpha$-harmonic functions on bounded Lipschitz domains $D$ that vanish outside $D$. We also discuss the case when the normalizing function corresponds to the Hausdorff measure on the boundary of $D$.